The Accuweather Corporation manufactures barometers and thermometers for weather forecasters. In an attempt to forecast its future needs for mercury, Accuweather's chief economist estimated average monthly mercury needs as:           N = 500 + 10X   where N = monthly mercury needs (units) and X = time period in months (January 2008= 0). The following monthly seasonal adjustment factors have been estimated using data from the past five years:   Month Adjustment Factor January   15% April   10% July -20% September     5% December -10%   (a) Forecast Accuweather's mercury needs for January, April, July, September, and December of 2010. (b) The following actual and forecast values of mercury needs in the month of November have been recorded:       Year Actual Forecast     2008 456 480     2009 324 360     2007 240 240         Q 4.           (B)                        Emco Company has an assembly line of fixed size A. Total output is a function of the number of workers (crew size) as shown in the following schedule:   Crew Size Total Output (No. of Workers) (No. of Units)     0  0 1 10 2 35 3 50 4 56 5 59 6 60 7 60 8 58   Determine the following schedules:   (a) Marginal productivity of labor (b) Average productivity of labor (c) (d) Elasticity of production with respect to labor Draw and Show relationship MPL & APL

ENGR.ECONOMIC ANALYSIS
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The Accuweather Corporation manufactures barometers and thermometers for weather forecasters. In an attempt to forecast its future needs for mercury, Accuweather's chief economist estimated average monthly mercury needs as:

 

        N = 500 + 10X

 

where N = monthly mercury needs (units) and X = time period in months (January 2008= 0). The following monthly seasonal adjustment factors have been estimated using data from the past five years:

 

Month

Adjustment Factor

January

  15%

April

  10%

July

-20%

September

    5%

December

-10%

 

(a)

Forecast Accuweather's mercury needs for January, April, July, September, and December of 2010.

(b)

The following actual and forecast values of mercury needs in the month of November have been recorded:

 

 

 

Year

Actual

Forecast

 

 

2008

456

480

 

 

2009

324

360

 

 

2007

240

240

 

 

 

 

Q 4.           (B)

                       Emco Company has an assembly line of fixed size A. Total output is a function of the number of workers (crew size) as shown in the following schedule:

 

Crew Size

Total Output

(No. of Workers)

(No. of Units)

 

 

0

 0

1

10

2

35

3

50

4

56

5

59

6

60

7

60

8

58

 

Determine the following schedules:

 

(a)

Marginal productivity of labor

(b)

Average productivity of labor

(c)

(d)

Elasticity of production with respect to labor

Draw and Show relationship MPL & APL

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